If the sum of three consecutive numbers is 2022, what is their first number

When Stefan has $112,000 in total assets and $81,000 in total liabilities, the net worth is $31000.

An asset is any resource that a business or other economic entity owns or manages. Anything that has the capacity to produce economic value is eligible. The ownership value that can be sold for money is represented by assets.

Assets include tangible items like machinery, real estate, raw materials, and inventory as well as intangible items like intellectual property rights, royalties, and other patents.

Liability typically denotes being accountable for something, but it can also imply owing someone money or services. A homeowner's tax obligation, for instance, may be the amount of property taxes due to the city or the amount of income taxes due to the federal government.

Since Stefan has $112,000 in total assets and $81,000 in total liabilities. Stefan's net worth will be:

= Asset - Liability

= $112000 - $81000

= $31000

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Step-by-step explanation:

Using Cosine rule, we have:

q² = r² + s² - 2(r)(s)(cosQ)

= 380² + 390² - 2(380)(390)(cos48°)

= 98169.688cm²

Hence q = 313cm. (nearest centimeter)

The required value of side q is 313 cm for the triangle ΔQRS.

A triangle is a geometric figure with three edges, three angles and three vertices. It is a basic figure in geometry.

The sum of the angles of a triangle is always 180°

Given that,

In triangle QRS side r = 380 cm, side s = 390 cm and angle Q = 48°.

To find the length of the side q,

Use cosine rule,

\(cos Q = \frac{(r^2 + s^2 - q^2)}{(2\times r \times s)}\)

Substitute the values here,

\(cos 48 = \frac{(380)^2 + (390)^2- q^2}{2\times380 \times390} \\\)

\(0.67 = \frac{144400 + 152100 - q^2}{296400}\)

198,588 = 296500 - q²

q² = 97912

q = 312.90

q = 313 cm

The value of side q is 313 cm.

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Answer:

y=-2x-6

Step-by-step explanation:

Slope intercept form of a line: y=mx+b (m is the slope and b is the y-intercept)

Convert our given line 6x+3y=4 into slope-intercept form to find the slope

Subtract 6x on both sides

3y=-6x+4

Divide 3 on both sides

y=-2x+4/3

The slope of the given line is the coefficient of x, -2

Parallel lines have the same slope, so the equation we're solving for also has a slope of -2

We also know that the y-intercept is -6, so we now have all the info we need to make the equation:

y=-2x-6

A23425

Step-by-step explanation:

Answer:

5%

Step-by-step explanation:

price after discount :

9 600 - 9 600×40%

= 5760

Original price (price without profit) :

let x be the original price of the device.

x + x × 20% = 5760

Then

x = (5 760×100)÷120

  = 4 800

Original price increased by 30% :

4 800 + 4 800×30%

= 6 240

the discount needed to increase the profit by 10% :

[(9 600-6 240)÷9 600]×100

= 35%

Then

to increase the profit by 10% ,we have to reduce

the percent of discount to :

40% - 35%

= 5%

In Cartesian or rectangular coordinate system we represent any point using the ordered pair (x,y) . Similarly in polar coordinate system we represent any point using the ordered pair (r,θ), where r is the distance from origin and θ is the angle made by the line joining origin and the point with x-axis measured in anti-clockwise direction.

The expression that can be used to show a group of twenty seven players divided into three teams is  27÷3.

Multiplication is the opposite of division. If 3 groups of 4 add up to 12, then 12 divided into 3 groups of equal size results in 4 in each group. Creating equal groups or determining how many people are in each group after a fair distribution is the basic objective of division.

One of the four fundamental arithmetic operations, or how numbers are combined to create new numbers, is division. The other operations are multiplication, addition, and subtraction.

Therefore, option D is correct because 27 can be divided by 3 as (27÷3)

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I cant see any question on the attachment it is just a black screen

Subtracting the answers from the expansion gives 8x² - 12x - S

Given the expressions;

(3x-1)², (x+6)²

First, expand the bracket;

( 3x - 1) ( 3x + 1) ⇒ difference of two squares

9x² + 3x - 3x - 1²    

9x²  - 1         (1)

( x + 6) (x + 6)

x² + 6x + 6x + 36    

x² + 12x + 36    (2)

Now, let's substract (2) from (1)

9x²  - 1 - (x² + 12x + 36 ) expand bracket

9x² - 1 -x² - 12x - 36

collect like terms

9x² - x² - 12x - 36 - 1

8x² - 12x - 37

Thus, subtracting the answers from the expansion gives 8x² - 12x - 37

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Answer:

The probability to get the vowel is 1/4.

Step-by-step explanation:

The number of elements in sample space, n(S) = 20

The number of elements in event, n (E) = 5

The probability to get the vowel is

\(P(E) =\frac{n(E)}{n(S)}\\\\P(E)=\frac{5}{20}\\\\P(E) = \frac{1}{4}\)

Answer:

x > 2

Step-by-step explanation:

-x < -2

multiply both sides by -1

switch direction of the sign because you're multiplying by a negative number!

x > 2

Answer:

You could use a stencil (e.g a glue sitck or coin).

Step-by-step explanation:

Answer:

Use anything else that has a flat circular surface, or this neat paper trick.

Step-by-step explanation:

Answer:

The answer of the fraction is 4/5

Answer:

b)

Step-by-step explanation:

= 7/30 (5/15 ₊ 7/15) ÷ (25/30 - 18/30)

 = 7/30 (12/15) ÷ (7/30)

 = 7/30 (12/15) ×(30/7)

 = 12/15

 = 4/5

Answer:

3

Step-by-step explanation:

\(y = a(x - h) {}^{2} + k \\ \\ y = 3 {x}^{2} + 18x + 2 \\ y = 3( {x}^{2} + 6x + \frac{3}{2} ) \\ y = 3( {x}^{2} + 6x + {( \frac{3}{4} )}^{2} + \frac{3}{2} - {( \frac{3}{4} )}^{2} ) \\ y = 3 {(x + \frac{3}{4}) }^{2} + \frac{15}{16} \)

Answer:

See below.

Step-by-step explanation:

\((5x^2y^3)^0\div(-2x^{-3}y^5)^{-2}\)

First, note that everything to the zeroth power is 1. Thus:

\(=1\div(-2x^{-3}y^5)^{-2}=\frac{1}{(-2x^{-3}y^5)^{-2}}\)

Distribute using Power of a Power property:

\(=\frac{1}{(-2)^{-2}(x^{-3})^{-2}(y^5)^{-2})}\)

Make the exponents positive by putting them to the numerator:

\(=\frac{(-2)^2(x^{-3})^2(y^5)^2}{1}\)

\(=\frac{4x^{-6}y^{10}}{1}\)

Make the exponent positive by this time putting it to the denominator:

\(=\frac{4y^{10}}{x^6}\)

Answer:

x = 16, y = 10

Step-by-step explanation:

(8x - 14) and (5x + 34) are alternate exterior angles and congruent, thus

8x - 14 = 5x + 34 ( subtract 5x from both sides )

3x - 14 = 34 ( add 14 to both sides )

3x = 48 ( divide both sides by 3 )

x = 16

Then

8x - 14 = 8(16) - 14 = 128 - 14 = 114

(5y + 16) and (8x - 14) are adjacent angles and supplementary, thus

5y + 16 + 114 = 180 , that is

5y + 130 = 180 ( subtract 130 from both sides )

5y = 50 ( divide both sides by 5 )

y = 10

a b c is correct

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Answer:

I believe the answer is letter B.

In this case, Christopher divides the athletes into groups of varsity and junior varsity, which creates the strata. The type of sampling used in this scenario is stratified sampling.

Stratified sampling is a sampling method where the population is divided into homogeneous subgroups or strata, and individuals are randomly selected from each stratum in proportion to their representation in the population. In this case, Christopher divides the athletes into groups of varsity and junior varsity, which creates the strata.

By randomly selecting a proportionate number of individuals from each group, Christopher ensures that both varsity and junior varsity athletes are represented in the sample, maintaining the proportional representation of each group in the population. This method allows for more accurate and representative results by capturing the characteristics of both groups separately.


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The number of subjects needed to estimate the mean number of books read per year with a certain level of confidence is calculated in different scenarios. In the first scenario, to estimate within six books with 90% confidence, the required number of subjects is determined.

In the second scenario, the number of subjects needed to estimate within three books with 90% confidence is calculated. The effect of doubling the required accuracy on the sample size is examined. Lastly, the number of subjects required to estimate within six books with 99% confidence is determined and compared to the first scenario.

(a) To estimate the mean number of books read per year within six books with 90% confidence, the required number of subjects is determined. The specific confidence level of 90% requires rounding up the number of subjects to the nearest whole number.

(b) Similarly, the number of subjects needed to estimate within three books with 90% confidence is calculated, rounding up to the nearest whole number.

(e) Doubling the required accuracy does not quadruple or quarter the sample size. Instead, it doubles the sample size.

(d) To estimate within six books with 99% confidence, the required number of subjects is calculated. This higher confidence level requires a larger sample size compared to the first scenario in part (a). Increasing the level of confidence in the estimate generally leads to a larger sample size because a higher confidence level requires more data to provide a more precise estimation. This is reasonable because higher confidence levels correspond to narrower confidence intervals, which necessitate a larger sample size to achieve.

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Answer:

x-intercept : -3 and y-intercept 6

Step-by-step explanation:

x-intercept is the point where the graph crosses the x-axis.

y-intercept is the point where the graph crosses the y-axis.

The range of the square footage values for the given mean , standard deviation and  95% confidence interval is equal to (1257.26 , 508.74).

As given in the question,

Sample size 'n' = 2

Sample mean '\(\bar{x}\)' = 883 sq ft

Standard deviation 'σ' = 270 sq ft

95% confidence interval.

95% confidence interval = 1 - 0.95

                                        = 0.05

Critical value for 95% is \(Z_{0.05}\) = 1.96

Population mean for the given confidence interval is given by :

= \(\bar{x}\) ± \(Z_{0.05}\) (σ / √n)

= 883 ± 1.96 ( 270 / √2)

= 883 ± 374.26

= ( 1257.26 , 508.74 )

Therefore , the range of the square footage values for the 95% confidence interval is equal to ( 1257.26 , 508.74 ).

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The null hypothesis of a test always predicts no effect or no association between variables, but the alternative hypothesis reflects the effect or relationship that your research predicts.

Hypothesis;-

A put forward explanation for a phenomenon is called a hypothesis (plural: hypotheses).

A hypothesis cannot be called a scientific hypothesis unless it can be tested using the scientific process. Observations from the past that cannot be fully explained by the body of knowledge at this time often serve as the foundation for scientific ideas.

A scientific hypothesis is distinct from a scientific theory, despite the fact that the phrases "hypothesis" and "theory" are sometimes used interchangeably.

A working hypothesis is a theory that has been accepted provisionally and is put forth for further investigation[1], beginning with an educated guess or way of thinking.

As a result, the alternative hypothesis of a test indicates the effect or relationship that your research predicts, whereas the null hypothesis of a test always predicts that there will be no effect or no association between variables.

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The solution will illustrate that the equation has one solution at x=0.

Given that  adds 2 to both sides, the equation 4x = 3x results.

An algebraic equation may be described as a mathematical declaration wherein expressions are set the same as every other.

The equation is 4x=3x.

As given that add 2 on both sides, we get

4x+2=3x+2

Now, we will subtract 3x from both sides, we get

4x+2-3x=3x+2-3x

x+2=2

Further, we will subtract 2 from both sides, we get

x+2-2=2-2

x=0

Hence, When adds 2 to both sides, the equation 4x = 3x results that the equation has one solution x=0.

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Answer:

b^2 - 4ac ==> what's inside the square root

The answer is the 2nd option

Step-by-step explanation:

b^2 - 4ac represents the number of roots in the quadratic equation. If

b^2 - 4ac>0, then there are 2 roots in the quadratic equation. If

b^2 - 4ac=0, then there is only 1 root. If b^2 - 4ac<0, then the square root of b^2 - 4ac would be invalid since the square root of a negative number has no real solution. Hence, if b^2 - 4ac<0, then there are no roots.

Answer:

The answer should be option B. b^2-4ac

Step-by-step explanation:

...

If there is 475020 possible ways of choosing six numbers then the expected value of this game is -$0.10.

To calculate the expected value, we need to multiply each possible outcome by its corresponding probability and sum them up. In this case, there are two possible outcomes: winning the jackpot with a probability of 1/475020 or losing with a probability of (475020-1)/475020.

The expected value can be calculated as follows:

Expected Value = (Probability of Winning * Winnings) + (Probability of Losing * Losses)

             = (1/475020 * $49,999) + ((475020-1)/475020 * -$1)

             = $0.10 - $0.10

             = -$0.10

The negative sign indicates that, on average, the player can expect to lose $0.10 per game they play.

This means that over the long run, if the player were to play this game many times, they can expect to lose an average of $0.10 per game. Therefore, from a financial standpoint, the expected value of this game is unfavorable for the player.

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The given expression, \(\(350y \cdot C \cdot \cos(u)\)\), involves variables \(\(y\), \(C\)\), and \(\(u\)\) and their respective operations and functions.

The expression \(\(350y \cdot C \cdot \cos(u)\)\) represents a mathematical equation involving multiplication and the cosine function. Let's break down each component:

1. \(\(350y\)\) represents the product of the constant value 350 and the variable \(y\).

2. \(\(C\)\) is a separate variable that is being multiplied by \(\(350y\)\).

3. \(\(\cos(u)\)\) represents the cosine of the variable \(\(u\)\).

The overall expression represents the product of these three terms: \(\(350y \cdot C \cdot \cos(u)\)\).

To evaluate this expression or derive any specific meaning from it, the values of the variables \(\(y\), \(C\)\), and \(\(u\)\) need to be known or assigned. Without specific values or context, it is not possible to provide a numerical or simplified result for the given expression.

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Answer:

im not writing all that lol

Step-by-step explanation:

So 1 would be 100%, 10/10 and 0 would be, 0/10 and 0% so for 50% for example would be 5/10, 0.5 and so on..

then just think of things that have a 100% chance and all the other percentages... example The sun rising tomorrow. and no chance 0% example the school flying away

In this problem, there are two parts. We will need to find what q is if 18% of q is 27, and what 27% of 2q is.

First, let's set up and solve the equation for 18% of q is 27.

18 / 100 = 27 / q

100q = 486

q = 4.86

Next, we'll find the value of 2q.

2(4.86) = 9.72

Finally, we'll set up a proportion and solve for 27% of 2q.

27 / 100 = x / 9.72

100x = 262.44

x = 2.6244

If 18% of q is 27, then 27% of 2q is 2.6244 (round to tenths/hundredths place as needed).

Hope this helps!! :)

Answer:

Step-by-step explanation: Let's first find the value of q

\(18/100 \times q = 27\\\frac{18q}{100} = \frac{27}{1}\\18q = 2700\\\frac{18q}{18} = \frac{2700}{18} \\q= 150.\\\)

Now we can find 27% of 2q

\(27 \% \times 2q = \\27 \% \times 2(150)\\\frac{27}{100} \times 300\\\\= \frac{8100}{100} \\= 81\)

Answer:

5x+19=6x+1

5x+18=6x

18=x

x=18

Hope This Helps!!!